10534777344 has 720 divisors, whose sum is σ = 39521329848. Its totient is φ = 2675441664.

The previous prime is 10534777343. The next prime is 10534777369. The reversal of 10534777344 is 44377743501.

It is a happy number.

10534777344 is a `hidden beast` number, since 1 + 0 + 534 + 7 + 7 + 73 + 44 = 666.

10534777344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9041727744 + 1493049600 = 95088^2 + 38640^2 .

It is a super-2 number, since 2×10534777344² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10534777344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10534777343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108605904 + ... + 108606000.

Almost surely, 2^10534777344 is an apocalyptic number.

10534777344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10534777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19760664924).

10534777344 is an abundant number, since it is smaller than the sum of its proper divisors (28986552504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10534777344 is a wasteful number, since it uses less digits than its factorization.

10534777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 10534777344 in words is "ten billion, five hundred thirty-four million, seven hundred seventy-seven thousand, three hundred forty-four".